Mathematical essays in honor of Gian-Carlo Rota
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Bibliographic Information
Mathematical essays in honor of Gian-Carlo Rota
（Progress in mathematics, v. 161）
Birkhäuser, c1998
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
C-P||Cambridge||1996.498012362
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Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science図書
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Note
Includes bibliographical references and index
Description and Table of Contents
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: us ISBN 9780817638726
Description
In April of 1996 an array of mathematicians converged on Cambridge, Massachusetts, for the Rotafest and Umbral Calculus Workshop, two con ferences celebrating Gian-Carlo Rota's 64th birthday. It seemed appropriate when feting one of the world's great combinatorialists to have the anniversary be a power of 2 rather than the more mundane 65. The over seventy-five par ticipants included Rota's doctoral students, coauthors, and other colleagues from more than a dozen countries. As a further testament to the breadth and depth of his influence, the lectures ranged over a wide variety of topics from invariant theory to algebraic topology. This volume is a collection of articles written in Rota's honor. Some of them were presented at the Rotafest and Umbral Workshop while others were written especially for this Festschrift. We will say a little about each paper and point out how they are connected with the mathematical contributions of Rota himself.
Table of Contents
MacMahon's Partition Analysis: I. The Lecture Hall Partition Theorem.- The cd-Index of Zonotopes and Arrangements.- Letter-Place Methods and Homotopy.- Classification of Trivectors in 6-D Space.- Parameter Augmentation for Basic Hypergeometric Series, I.- Unities and Negation.- The Would-Be Method of Targeted Rings.- Lattice Walks and Primary Decomposition.- Natural Exponential Families and Umbral Calculus.- Umbral Calculus in Hilbert Space.- A Strategy for Determining Polynomial Orthogonality.- Plethystic Formulas and Positivity for q, t-Kostka Coefficients.- An Alternative Evaluation of the Andrews-Burge Determinant.- The Number of Points in a Combinatorial Geometry with No 8-Point-Line Minors.- Umbral Shifts and Symmetric Functions of Schur Type.- An Axiomization for Cubic Algebras.- An Elementary Proof of Roichman's Rule for Irreducible Characters of Iwahori-Hecke Algebras of Type A.- Universal Constructions in Umbral Calculus.- Hyperplane Arrangements, Parking Functions and Tree Inversions.- More Orthogonal Polynomials as Moments.- Difference Equations via the Classical Umbral Calculus.- An Analogy in Geometric Homology: Rigidity and Cofactors on Geometric Graphs.- The Umbral Calculus and Identities for Hypergeometric Functions with Special Arguments.- Apologies to T.S. Eliot: The Rota Nerds.
- Volume
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: sz ISBN 9783764338725
Description
The essays in this volume pay tribute to Gian-Carlo Rota on the occasion of his 64th birthday. The breadth and depth of Rota's interests, research and influence are reflected in such areas as: combinatorics, invariant theory, geometry, algebraic topology, and representation theory.
Table of Contents
- Rotafest prgramme
- MacMahon's partition analysis - I the lecture hall partition theorem, George E.Andrews
- the cd-index of zonotypes and arrangements, Louis J. Billera, Richard Ehrenbor and margar Readdy
- letter-place methods and homotopy, David A. Buchsbaum
- classification of trivectors in 6-D space, Wendy Chan
- parameter augmentation for basic hypergeometric series I, William Y.C. Chen and Zhi-Guo Liu
- unities and negation, Henry crapo and Claude le conte de Poly-Barbut
- the would-be meth of targeted rings, ottavio M. D'Antona
- lattice walks and primary decomposition, Persi diaconis, Dav Eisenbud and Bernd Sturmfels
- natural exponential families and umbral calculus, A. di Bucchianico a D.E. Loeb
- umbral calculus in hilbert space, A.di Bucchianico, D.E. Loeb and Gian-Carlo Rota
- a strategy for determining polynomial orthogonality, J.M. Freeman
- plethystic formulas and positivity q,t-kosta coefficinets, A.M. Garsia and J. Remmel
- an alternative evaluation of the Andrews-Burge determinant, C. Krattenthaler
- the number of points in a combinatorial geometry with no 8-point-line minors, Joseph E. Bonin and Joseph P.S. Kung
- umbral shifts and symmetric functions of schur type, Miguel A. Mendez
- an axiomization for cubic algebras, Colin Bailey and Joseph Oliveira
- an elementar proof of Roichman's rule for irreducible characters of Iwahori-Hecke algebras of type A, Arun Ram
- universal constructions in umbral calculus, Nigel Ray
- hyperplane arrangements, parking functions an tree inversions, Richard P. Stanley
- more orthogonal polynomials as moments, Mourad E.H. Ismail and Dennis Stanton
- more orthogonal ploynomials as moments, Mourad E.H. Ismail and Dennis Stanton
- difference equations via the classical umbral calculus, Brian D. Taylor
- an analogy in geometric homology - rigidity and cofactors on geometric graphs, Walter Whiteley
- the umbral calculus and identities for hypergeometric functions with special arguments, Jet Wimp
- apologies to T.S. Eliot - rota nerds, J.S. Yang.
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